Divisibility Rule of 392

The divisibility rule for 392 is a method by which we can determine if a number is divisible by 392 without using the division method. To check whether 7840 is divisible by 392, follow these steps:

Step 1: Check divisibility by 8. The last three digits of 7840 are 840, and 840 is divisible by 8.

Step 2: Check divisibility by 49 (since 392 = 8 × 49). Divide the number by 49. The number 7840 divided by 49 gives us 160, which is an integer.

Since 7840 is divisible by both 8 and 49, it is divisible by 392.

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 392.

Know the multiples of 392:

Memorize the multiples of 392 (392, 784, 1176, etc.) to quickly check the divisibility.
 

Use the factors of 392:

Since 392 is 8 × 49, check divisibility by both 8 and 49 to determine divisibility by 392.
 

Repeat the process for large numbers:

For larger numbers, first check divisibility by 8, then by 49. Repeat the process until you find a smaller number that is divisible by both.
 

Use the division method to verify:

Use the division method as a way to verify and crosscheck your results. This will help in verification and learning.

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number without direct division.

• Factors: Numbers that multiply together to form another number. For 392, the factors are 8 and 49.

• Multiples: Results we get after multiplying a number by an integer. For example, multiples of 392 are 392, 784, and so on.

• Integer: A whole number that can be positive, negative, or zero.

• Remainder: The amount left over after division when one number doesn't evenly divide another.